Question

What is the distance between (1,7) and (9,1)

Answer 1

Answer:

10

Step-by-step explanation:

Given two points we can use the distance formula to calculate the distance between the two points.

Formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Where the x and y values are derived from the given points.

we are given the points (1,7) and (9,1)

To find the distance we plug in the x and y values of the points into the formula

$d=\sqrt{(9-1)^2+(1-7)^2} \\9-1=8\\1-7=-6\\d=\sqrt{8^2+(-6)^2} \\8^2=64\\-6^2=36\\d=\sqrt{64+36} \\64+36=100\\\sqrt{100} =10\\d=10$

So we can conclude that the distance between the points (1,7) and (9,1) is 10 units